Answer:
The conditions for creating a confidence interval for the population proportion have been met.
Explanation:
There are the following conditions to build a confidence interval for a population proportion:
Sample of size n from a large population
Individuals chosen independent of one another
At least 15 failures and 15 sucesses in the sample.
In this problem, we have that:
Sample of 100 people
They are chosen at random at the market, so it means that the probability that an individual likes the new design is independent of any other individuals.
82 successes and 18 failures.
So yes, the conditions for creating a confidence interval for the population proportion have been met.
Answer: "The rise in the price of a pair of running shoes will increase the supply of running shoes".
This statement is <u><em> false</em></u> because <em><u>a decrease in demand for running shoes does not increase the price of a pair of running shoes and an increase in the price of a pair of running shoes does not increase the supply of running shoes. </u></em>
This occurs as the price of a pair of running shoes increases,therefore decreasing the demand and thus the supply will not increase.